scholarly journals Scaling in the time-dependent failure of a fiber bundle with local load sharing

1999 ◽  
Vol 59 (2) ◽  
pp. 1589-1592 ◽  
Author(s):  
Shu-dong Zhang
2015 ◽  
Vol 92 (2) ◽  
Author(s):  
Santanu Sinha ◽  
Jonas T. Kjellstadli ◽  
Alex Hansen

2021 ◽  
Vol 9 ◽  
Author(s):  
Mikko J. Alava

An important question in the theory of fracture is what kind of lifetime distributions may exist for materials under load. Here, this is studied in the context of a one-dimensional fracture model with local load sharing under a constant external load, “creep.” Simulations of the system with Weibull distributed initial lifetimes for the elements show that the limiting distribution follows from extreme statistics and takes the Gumbel form eventually, with longer and longer crossovers in the system size from a Weibull-like distribution, depending on the initial Weibull exponent.


2019 ◽  
Vol 390 ◽  
pp. 1-8 ◽  
Author(s):  
Miguel A. Clemente ◽  
Javier B. Gómez ◽  
Amalio F. Pacheco

2013 ◽  
Vol 88 (4) ◽  
Author(s):  
Soumyajyoti Biswas ◽  
Bikas K. Chakrabarti

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Ahmed Hader ◽  
Hicham Sbiaai ◽  
Mohammed Tanasehte ◽  
Layla Amallah ◽  
Yahia Boughaleb

PurposeThe fibers are loaded by the cosine component of the external load, when a fiber fails, and due to the local load-sharing nature, its force is shared by surviving neighboring fibers. The results show that the system presents a greater resistance and toughness toward the applied load compared to the classical one.Design/methodology/approachIn this paper, the authors adopt the dynamics of a local load-sharing fiber bundle model in two dimensions under an external load to study scaling law in failure process of composite materials with randomly oriented fibers. The model is based on the fiber bundle model where the fibers are randomly oriented. The system is different to the classical one where the fibers are arranged in parallel with the applied load direction.FindingsThe evolution time of the fraction of broken fiber is described by an exponential law with two characteristic times. The latter decrease linearly and exponentially respectively with both applied load and temperature.Originality/valueScaling behavior of the broken fiber numbers with the size system shows that the system exhibits a scaling law of Family–Vicsek model with universal exponents.


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